In an isosceles triangle ABC with AC equipment, medians AM and BN are drawn.

In an isosceles triangle ABC with AC equipment, medians AM and BN are drawn. Find the perimeter of the triangle ABC if AN = 5.6 dm and BM = 7.4 dm.

Since AM and BN are medians of triangles, they divide the sides to which they are drawn into two equal segments. Then ВM = CM = 7.4 cm, and then BC = 2 * ВM = 2 * 7.4 = 14.8 cm.

AN = CN = 5.6 cm, and then AC = 2 * AN = 2 * 5.6 = 11.2 cm.

Since the triangle ABC is isosceles, then AB = BC = 14.8 cm.

Let’s define the perimeter of the triangle ABC. Ravs = AB + BC + AC = 14.8 + 14.8 + 11.2 = 40.8 cm.

Answer: The perimeter of the triangle is 40.8 cm.



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